Scattering resonances and two-particle bound states of the extended Hubbard model

Abstract

We present a complete derivation of two-particle states of the one-dimensional extended Hubbard model involving attractive or repulsive on-site and nearest-neighbour interactions. We find that this system possesses scattering resonances and two families of energy-dependent interaction-bound states which are not present in the Hubbard model with the on-site interaction alone.

arXiv comment4 pages, 4 figures

References in corpus (17)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• A High Phase-Space-Density Gas of Polar Molecules
• Bose-Einstein condensation of chromium
• A toolbox for lattice spin models with polar molecules
• Repulsively bound atom pairs in an optical lattice
• Ultracold heteronuclear molecules in a 3D optical lattice
• All-Optical Production of Chromium Bose-Einstein Condensates
• Two-particle states in the Hubbard model
• Quantum Lattice Solitons
• Quantum liquid of repulsively bound pairs of particles in a lattice
• Effective-range description of a Bose gas under strong one- or two-dimensional confinement
• Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs
• Two-channel Feshbach physics in a structured continuum

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